By Russell Gold And Angela Chen 

Shares of Halliburton Co. dropped sharply Monday after the company announced it would buy Baker Hughes Inc. in a $34.6 billion stock-and-cash deal that combines two of the world's largest providers of oil-field-services.

Investors reacted negatively to the rich price Halliburton is paying for its smaller rival; Halliburton's offer of $78.62 a share is a 31% premium to Baker Hughes's closing price Friday.

Halliburton shares dropped as much as 9.5% in Monday morning trading, although they recovered slightly to $50.25, down 8.7% from Friday's close. Baker Hughes shares rose almost 11% Monday, to $66.43.

Analysts also raised concerns about the sizable $3.5 billion breakup fee Halliburton agreed to pay if the deal isn't completed because of antitrust issues. The two companies have many overlapping businesses, including hydraulic fracturing of oil and gas wells and computer-controlled horizontal drilling. They also drill in many of the same regions, from U.S. shale fields in Texas and North Dakota to the deep waters off the coast of Brazil.

Dave Lesar, chairman and chief executive of Halliburton, said he was ready to fight for regulatory approval. "We have the very best in antitrust counsel," he said, adding that "we are prepared to be cooperative with regulatory authorities."

If required by regulators, Halliburton said it would divest businesses that generate up to $7.5 billion in revenue.

The deal, which could help the companies contend with falling oil prices, comes after weeks of discussions that at one point turned hostile. The companies wouldn't say how the deal was sealed over the weekend but Halliburton appears to have sweetened its offer.

"We bargained hard with each other, and at the end we got a deal that is good for the shareholders," Mr. Lesar said.

Martin Craighead, chairman and chief executive of Baker Hughes, said combining the companies would be good for customers. "I see the potential to have the best oil-field services company that has ever existed, full stop," he said.

Upon the deal's completion, expected in the second half of 2015, Baker Hughes shareholders will own about 36% of the combined company. The new company will have a combined board of 15 members, including three from the Baker Hughes board.

Achieving a friendly agreement was important for a deal that is likely to face antitrust scrutiny. Skeptical regulators can be harder to win over without a willing merger partner also eager to persuade the government to bless the deal.

The companies face a world where drilling for oil and gas has become increasingly expensive and competitive--and falling crude prices are only adding to the pressures on oil-field services firms. Those trends, industry experts say, likely spurred Halliburton to approach its smaller rival.

Exploration around the globe is starting to contract. Big or small, some energy companies are demanding lower prices from their oil-field servicers in the face of crude prices that have fallen from over $100 a barrel to under $75 and show no signs of a quick rebound.

Combining the companies will create a new oil-field-services giant that can offer lower prices to customers, executives from both companies told analysts Monday morning.

Mr. Lesar said hydraulic fracturing in North America will be a key area where the combination of the two companies will result in big savings.

"The integration teams are moving rapidly," Mr. Lesar said. "In particular in hydraulic fracturing, where we can our combine logistics networks."

A takeover of Baker Hughes would create a global giant better able to compete with Schlumberger NV for huge overseas projects. The three companies "have been in a knife fight the past few years," analysts at Tudor, Pickering Holt & Co. said.

The merger would bring together two companies which have competed against each other for a century. Baker Hughes traces its corporate roots back to 1907 when Rueben C. Baker formed a company in the California oil fields to sell the drilling tools he invested.

In 1919, Erle Halliburton founded a company that focused on cementing--a key part of drilling and finishing wells--in Oklahoma. Schlumberger, Baker Hughes and Halliburton are often referred to as the "Big Three" in oil-field services. All three operate globally.

With global companies trimming their spending and U.S. companies "about to confront a very hard landing, major consolidation in the oil service sector has become an imperative," said Bill Herbert, managing director of Simmons & Co. International, an energy investment bank.

Relations between Halliburton and Baker Hughes turned hostile last week, but even what transpired in the preceding month is a point of contention between the two oil-field-services companies.

Mr. Lesar dismissed concerns about antagonism between the fierce competitors, both of which are based in Houston. "There is always a bit of theater when these things come together," he said.

On a pro forma basis, the combined company had 2013 revenue of $51.8 billion, more than 136,000 employees and operations in more than 80 countries around the world.

Halliburton intends to finance the cash portion of the acquisition through a combination of cash on hand and debt financing.

Dan Molinski contributed to this article.

Write to Russell Gold at russell.gold@wsj.com and Angela Chen at angela.chen@dowjones.com

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